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arXiv · 1510.01890

Semi-static completeness and robust pricing by informed investors

Beatrice Acciaio·Martin Larsson
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Abstract

We consider a continuous-time financial market that consists of securities available for dynamic trading, and securities only available for static trading. We work in a robust framework where a set of non-dominated models is given. The concept of semi-static completeness is introduced: it corresponds to having exact replication by means of semi-static strategies. We show that semi-static completeness is equivalent to an extremality property, and give a characterization of the induced filtration structure. Furthermore, we consider investors with additional information and, for specific types of extra information, we characterize the models that are semi-statically complete for the informed investors. Finally, we provide some examples where robust pricing for informed and uninformed agents can be done over semi-statically complete models.

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Beatrice Acciaio, Martin Larsson. 2016-09-21. Semi-static completeness and robust pricing by informed investors. https://arxiv.org/abs/1510.01890

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